基于L_2干扰抑制的压电换能器控制

Control of Piezoelectric Transducer Based on the L_2 Interference Restrain

为了降低压电元件运行中的干扰对超声波发声系统的影响。首先通过类比压电振动模型与压电等效电路模型,得到了可反映压电振动状态的的压电等效电路微分方程,基于线性分式变换(LFT)构建了考虑元件干扰的压电换能器状态模型。然后分析整合状态空间模型,将系统各个干扰整合视为系统扰动,得到含有系统扰动的线性状态空间模型;最后基于L2干扰抑制理论设计系统的反馈控制律。结果表明,仿真系统在存在符合白噪声分布的干扰的情况下,控制律使系统运行状态良好。

In order to reduce the impact of the uncertainty of the piezoelectric plant in ultrasonic sound system,first,by analogy to the piezoelectric vibration model with piezoelectric equivalent circuit model,the differential equation of the piezoelectric equivalent circuit is obtained,which can reflect the piezoelectric vibration,the piezoelectric state space control model is established based on the linear fractional transformation（LFT）.Then the state space model is analyzed,a linear state space model containing the system disturbances is obtained by treating each uncertainty of the system general integration as the disturbance of the system.Finally,based on the L2 interference restrain theory to design the feedback control law.The simulation system under conditions of uncertainty accord with the white noise distribution,the control law makes the system run in a good condition.